December 24th, 2024

Symbolic Execution by Overloading __bool__

The article explains how to achieve symbolic execution in Python by overloading the `__bool__` method in the Z3 library, allowing exploration of execution paths and enhancing expressiveness for symbolic reasoning.

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Symbolic Execution by Overloading __bool__

The article discusses the concept of symbolic execution in Python by leveraging the overloading of the `__bool__` method in the Z3 library. The author reflects on a talk about staged metaprogramming in C++ and how similar techniques can be applied in Python. By creating a custom `__bool__` function, one can explore different execution paths in Python code, effectively enabling symbolic execution without the usual complexities. The author illustrates this with examples, including a recursive power function and various conditional structures, demonstrating how Z3 expressions can be manipulated to achieve desired outcomes. The article also touches on the limitations of Python's syntax, noting that certain constructs like if-then-else blocks cannot be overloaded directly. However, the author proposes a workaround by using Z3's capabilities to handle these cases indirectly. The discussion includes potential applications of this technique in creating domain-specific languages (DSLs) and enhancing the expressiveness of Python for symbolic reasoning tasks. The author concludes by suggesting that these methods could be combined with other testing frameworks for more robust symbolic execution.

- Symbolic execution can be achieved in Python by overloading the `__bool__` method in Z3.

- The technique allows exploration of multiple execution paths in Python code.

- Certain Python constructs cannot be overloaded directly, but workarounds exist using Z3.

- The approach can facilitate the creation of domain-specific languages (DSLs) in Python.

- Combining these techniques with testing frameworks could enhance symbolic execution capabilities.

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By @PhilipRoman - 5 months
Impressive work. I once implemented sybolic execution in Lua to automate calculating error propagation for physics class, but when I tried to extend the system, I couldn't figured out how to deal with control structures and resorted to writing functions like ifElse(x, y, z). Feels good to find out it is possible after all.
By @tracnar - 5 months
This is exactly what the CrossHair library does: https://github.com/pschanely/CrossHair

It also overloads other methods to provide kind of symbolic objects.

By @int_19h - 5 months
Isn't this kind of thing exactly why Lisp was so popular for symbolic computation historically?
By @svilen_dobrev - 5 months
Here some expression builder, with few renderers thereof, in one file, with some tests (beware: from 2012-2016)

Was used to turn a python function into plain text (textualize itself), into SQL-text (applicable as query), evaluate-numerically, translate into other languages, and the like.

https://github.com/svilendobrev/svd_util/blob/master/expr.py

By @pizza - 5 months
This is the kind of thing I love to come across on a holiday break that seems ripe for side projects... :)